The Odd Dimensional Analogue of a Theorem of Getzler and Wu
classification
🧮 math.OA
math.KT
keywords
dimensionalanaloguegetzlermanifoldstheorematiyah-patodi-singerboundarycalculus
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We prove an analogue for odd dimensional manifolds with boundary, in the $b$-calculus setting, of the higher Atiyah-Patodi-Singer index theorem by Getzler and Wu, thus obtain a natural counterpart of the eta invariant for even dimensional closed manifolds.
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